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Finding the Fourth Proportional to 82,053.40, 122,993.70 and 32,114.20

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Solution

The fourth proportional to 82,053.40, 122,993.70 and 32,114.20 is: 48,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.40 : 122,993.70 = 32,114.20 : x
  2. Step 2: Convert to fraction form
    82,053.40/122,993.70 = 32,114.20/x
  3. Step 3: Cross multiply
    82,053.40x = 122,993.70 × 32,114.20
  4. Step 4: Simplify right side
    82,053.40x = 3,949,844,280.54
  5. Step 5: Solve for x
    x = 3,949,844,280.54/82,053.40
  6. Step 6: Final answer
    x = 48,137.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.